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Finding the Fourth Proportional to 20,262, 27,962.96 and 11,311.24

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Solution

The fourth proportional to 20,262, 27,962.96 and 11,311.24 is: 15,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262 : 27,962.96 = 11,311.24 : x
  2. Step 2: Convert to fraction form
    20,262/27,962.96 = 11,311.24/x
  3. Step 3: Cross multiply
    20,262x = 27,962.96 × 11,311.24
  4. Step 4: Simplify right side
    20,262x = 316,295,751.67
  5. Step 5: Solve for x
    x = 316,295,751.67/20,262
  6. Step 6: Final answer
    x = 15,610.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.